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Displaying similar documents to “Convex lines in median groups”

Median groups

Milan Kolibiar (1989)

Archivum Mathematicum

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Unique a -closure for some ℓ -groups of rational valued functions

Anthony W. Hager, Chawne M. Kimber, Warren W. McGovern (2005)

Czechoslovak Mathematical Journal

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Usually, an abelian ℓ -group, even an archimedean ℓ -group, has a relatively large infinity of distinct a -closures. Here, we find a reasonably large class with unique and perfectly describable a -closure, the class of archimedean ℓ -groups with weak unit which are “ ℚ -convex”. ( ℚ is the group of rationals.) Any C ( X , ℚ ) is ℚ -convex and its unique a -closure is the Alexandroff algebra of functions on X defined from the clopen sets; this is sometimes C ( X ) .